The dynamic models of many practical phenomena in physics, biology, economics, and so forth, involve significant time delays. For example, time delays occur in engineering systems that include transportation or propagation of materials and data, such as chemical reactors, combustion engines, and communication networks. The presence of time delay leads to serious deterioration of the stability of the system. Therefore, considerable attention has been devoted recently to the stability analysis and control of time-delayed systems. This chapter briefly introduces the preliminary ideas of time-delayed systems, especially the concept of stability and the well-known methods of stability analysis of time-delayed ...
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